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Finding the Fourth Proportional to 174,277.44, 261,301.44 and 114,932.16

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Solution

The fourth proportional to 174,277.44, 261,301.44 and 114,932.16 is: 172,322.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,277.44 : 261,301.44 = 114,932.16 : x
  2. Step 2: Convert to fraction form
    174,277.44/261,301.44 = 114,932.16/x
  3. Step 3: Cross multiply
    174,277.44x = 261,301.44 × 114,932.16
  4. Step 4: Simplify right side
    174,277.44x = 30,031,938,910.31
  5. Step 5: Solve for x
    x = 30,031,938,910.31/174,277.44
  6. Step 6: Final answer
    x = 172,322.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.